Question

date____ period__ independent practice classify the angles as acute, obtuse, right or straight. 1) diagram acute (written) 2) diagram __ 3) diagram __ 4) diagram __ 5) diagram __ 16) 180° __ 17) 16° __ 18) 90° __ 19) 110° __ 20) 167° ____

Explanation:

Problem 2

Step1: Recall angle definitions

• Acute: \(0^\circ < \theta < 90^\circ\)
• Right: \(\theta = 90^\circ\)
• Obtuse: \(90^\circ < \theta < 180^\circ\)
• Straight: \(\theta = 180^\circ\)

Step2: Analyze the angle's shape

The angle in problem 2 has a wider opening than a right angle but less than a straight angle. Visually, it's greater than \(90^\circ\) and less than \(180^\circ\), so it's obtuse.

Step1: Recall angle definitions

• Acute: \(0^\circ < \theta < 90^\circ\)
• Right: \(\theta = 90^\circ\)
• Obtuse: \(90^\circ < \theta < 180^\circ\)
• Straight: \(\theta = 180^\circ\)

Step2: Analyze the angle's shape

The angle in problem 3 has a wide opening, clearly greater than \(90^\circ\) and less than \(180^\circ\), so it's obtuse.

Step1: Recall angle definitions

• Acute: \(0^\circ < \theta < 90^\circ\)
• Right: \(\theta = 90^\circ\)
• Obtuse: \(90^\circ < \theta < 180^\circ\)
• Straight: \(\theta = 180^\circ\)

Step2: Analyze the angle's shape

The angle in problem 4 is greater than \(90^\circ\) (not a right angle) and less than \(180^\circ\) (not straight), so it's obtuse.

Answer:

Obtuse

Problem 3